Question

Camden is creating a model of a pyramid. The model created will need to be scaled up from the blueprint.

If segments DE and AB are parallel, which of the following expressions will help Camden determine the length of DC?
DC equals EC times AC all over BC
DC = EC
DC equals EC times AC all over AB
DC = AB
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Answer 1

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DC = EC

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Answer 2

Answer:

A) DC equals EC times AC all over BC.

Step-by-step explanation:

We know that:

Then by corresponding angles:

So, by AA-Similarity:

Corresponding sides of similar triangles are in proportion. Hence:

By multiplying both sides by AC:

DC is equal to EC times AC over BC.

Hence, our answer is A.